Given the following, solve for a and b:
a^b + b^a = (ab)^2 + 1
"Pure mathematics is, in its way, the poetry of logical ideas."
Need some constraints on those variables, else a,b = 1
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.